I have owned this mystery ARROW patch for a while. In the LW section I could never get and answer but maybe it is an unofficial patch for a paratrooper or HG Division unit?

I know that the Hermann Goering Pz Div used special insignia like a clock hand with a numeral to indicate a certain regiment. (seen on vehicles and helmets even)
and paratroopers used arrows often for their unit insignia...

The arrow (or clock hand) is white but added with hand stitches to the circular LW blue gray backing patch.
This was done with red thread for some reason...Not a professionally made (multiple run) patch...company/unit hand made it appears and therefore unofficial.

It could be a clock hand I guess?
It is hand made patch, not professional......Not an issue piece and the backing is LW color wool...
I got it in a lot with other standard German insignia but that does not mean anything...
The Lehr Battalion of the Ramcke Brigade used unit patches...
Could this be something similar?

Hello Nick,
Your coat of arms has nothing to do with the Bundeswehr coat of arms.
The red / black coat of arms is the sign of the parachute battalion 253, Nagold
The sign is a nail from the city's coat of arms.